42672672000 has 864 divisors, whose sum is σ = 178875051264. Its totient is φ = 9566208000.

The previous prime is 42672671981. The next prime is 42672672011. The reversal of 42672672000 is 27627624.

42672672000 is a `hidden beast` number, since 426 + 7 + 26 + 7 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122975827 + ... + 122976173.

Almost surely, 2^42672672000 is an apocalyptic number.

42672672000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42672672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89437525632).

42672672000 is an abundant number, since it is smaller than the sum of its proper divisors (136202379264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42672672000 is a wasteful number, since it uses less digits than its factorization.

42672672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 42672672000 in words is "forty-two billion, six hundred seventy-two million, six hundred seventy-two thousand".